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Finding the Fourth Proportional to 838,893.51, 1,157,674.82 and 456,919.11

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Solution

The fourth proportional to 838,893.51, 1,157,674.82 and 456,919.11 is: 630,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,893.51 : 1,157,674.82 = 456,919.11 : x
  2. Step 2: Convert to fraction form
    838,893.51/1,157,674.82 = 456,919.11/x
  3. Step 3: Cross multiply
    838,893.51x = 1,157,674.82 × 456,919.11
  4. Step 4: Simplify right side
    838,893.51x = 528,963,746,139.22
  5. Step 5: Solve for x
    x = 528,963,746,139.22/838,893.51
  6. Step 6: Final answer
    x = 630,549.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.